Question

Use cylindrical shells to find the volume:

Answer 1

xy=1, x=0, y=1, y=3

Answer 2

whats the axis of revolution ?

Answer 3

x - axis or y - axis?

Answer 4

About the x-axis, sorry about that

Answer 5

\[\int\limits_{a}^{b} 2 \pi (shell radius)(shell height) dy\]

Answer 6

Teach me batman :3

Answer 7

So it's from 1 to 3


\[\int\limits_{1}^{3} 2 \pi (y) \frac{ 1 }{ y }dy \]

\[= \int\limits_{1}^{3} 2\pi (1) dy = 2\pi(y) 1 ~ \to ~ 3 = 4\pi\]

Answer 8

I gtg now, good luck lui :p

Answer 9

Thank you batman :D